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Finding the Fourth Proportional to 785.09, 1,082.40 and 651.83

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Solution

The fourth proportional to 785.09, 1,082.40 and 651.83 is: 898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.09 : 1,082.40 = 651.83 : x
  2. Step 2: Convert to fraction form
    785.09/1,082.40 = 651.83/x
  3. Step 3: Cross multiply
    785.09x = 1,082.40 × 651.83
  4. Step 4: Simplify right side
    785.09x = 705,535.38
  5. Step 5: Solve for x
    x = 705,535.38/785.09
  6. Step 6: Final answer
    x = 898.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.